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Local Gaussian Dominance: An Anharmonic Excitation of Free Bosons

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Abstract

We prove the local Gaussian dominance condition for a Bose system whose Hamiltonian is diagonal with respect to the particle number operators. The proof is based on obtaining an upper bound estimate for the Bogoliubov inner product of the Bose creation and annihilation operators.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de La Serena, La Serena, Chile

    M. Corgini

  2. Steklov Mathematical Institute, RAS, Moscow, Russia

    D. P. Sankovich

Authors
  1. M. Corgini
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  2. D. P. Sankovich
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Corgini, M., Sankovich, D.P. Local Gaussian Dominance: An Anharmonic Excitation of Free Bosons. Theoretical and Mathematical Physics 132, 1019–1028 (2002). https://doi.org/10.1023/A:1019623811451

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  • DOI: https://doi.org/10.1023/A:1019623811451

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